GCD of 396, 752, 75, 338 Calculator

Given Input numbers are 396, 752, 75, 338

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 396, 752, 75, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 752, 75, 338 is 1.

Therefore, GCD of numbers 396, 752, 75, 338 is 1

Given Input Data is 396, 752, 75, 338

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 338 is 2 x 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(396, 752) = 74448

GCD(396, 752) = ( 396 x 752 ) / 74448

GCD(396, 752) = 297792 / 74448

GCD(396, 752) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 75

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 75) = 300

GCD(4, 75) = ( 4 x 75 ) / 300

GCD(4, 75) = 300 / 300

GCD(4, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 396, 752, 75, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 287, 76, 680
• GCD of 860, 269, 70, 471
• GCD of 665, 827, 45, 537
• GCD of 106, 826, 82, 522
• GCD of 256, 627, 65, 360

1. What is the GCD of 396, 752, 75, 338?

GCD of 396, 752, 75, 338 is 1

2. Where do I get the detailed procedure to find GCD of 396, 752, 75, 338?

You can find a detailed procedure to find GCD of 396, 752, 75, 338 on our page.

3. How to find GCD of 396, 752, 75, 338 on a calculator?

You can find the GCD of 396, 752, 75, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.